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Finding the Fourth Proportional to 13,768.29, 19,000.44 and 7,480.62

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Solution

The fourth proportional to 13,768.29, 19,000.44 and 7,480.62 is: 10,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.29 : 19,000.44 = 7,480.62 : x
  2. Step 2: Convert to fraction form
    13,768.29/19,000.44 = 7,480.62/x
  3. Step 3: Cross multiply
    13,768.29x = 19,000.44 × 7,480.62
  4. Step 4: Simplify right side
    13,768.29x = 142,135,071.47
  5. Step 5: Solve for x
    x = 142,135,071.47/13,768.29
  6. Step 6: Final answer
    x = 10,323.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.